Projective-geometric aspects of homogeneous third-order Hamiltonian operators

Author:

Ferapontov E.V.,Pavlov M.V.,Vitolo R.F.ORCID

Funder

GNFM

Istituto Nazionale di Fisica Nucleare

Dipartimento di Matematica e Fisica “E. De Giorgi”

RF Government

Presidium of RAS

RFBR

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference30 articles.

1. Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov–Whitham averaging method;Dubrovin;Sov. Math. Dokl.,1983

2. Poisson brackets of hydrodynamic type;Dubrovin;Sov. Math. Dokl.,1984

3. On Poisson brackets of differential-geometric type;Potemin;Sov. Math. Dokl.,1986

4. Differential geometric Poisson bivectors in one space variable;Doyle;J. Math. Phys.,1993

5. Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems;Mokhov;Russian Math. Surveys,1998

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